Relaxation of a nonideal magnetohydrodynamic plasma in a cylindrical column

Journal Article · Mon Aug 01 04:00:00 EDT 1994 · Physics of Plasmas; (United States)

DOI:https://doi.org/10.1063/1.870580· OSTI ID:6640141

Cheremnykh, O K; Andrushchenko, Z M ^[1]; Edenstrasser, J W ^[2]; Taranov, V B ^[1]

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1. Institute for Nuclear Research, Ukrainian Academy of Sciences, Kiev (Ukraine)
2. Institute for Theoretical Physics, University of Innsbruck (Austria)

The time evolution of a nonideal magnetohydrodynamic (MHD) plasma is investigated. An approach for the reduction of the nonlinear vector MHD equations for a current carrying plasma with a strong longitudinal external magnetic field to a set of scalar partial differential equations is supposed. Analytical time-dependent solutions of the nonlinear resistive and dissipative MHD equations for a cylindrical plasma column are presented. It is shown that the internal magnetic field and the velocity have different damping times and that in the asymptotic limit [ital t][r arrow][infinity] the plasma slowly relaxes toward the static equilibrium state. Analytical reduced MHD solutions describing slowly evolving states in tokamaks are found.

• OSTI ID: 6640141
• Journal Information: Physics of Plasmas; (United States), Journal Name: Physics of Plasmas; (United States) Vol. 1:8; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700370* -- Plasma Fluid & MHD Properties-- (1992-)
ANALYTICAL SOLUTION
CLOSED PLASMA DEVICES
CONFIGURATION
CYLINDRICAL CONFIGURATION
DAMPING
EQUILIBRIUM
FLUID MECHANICS
HYDRODYNAMICS
MAGNETOHYDRODYNAMICS
MECHANICS
MHD EQUILIBRIUM
RELAXATION
THERMONUCLEAR DEVICES
TIME DEPENDENCE
TOKAMAK DEVICES